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Finding the Third Proportional to 104,425.25 and 168,140

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Solution

The third proportional to 104,425.25 and 168,140 is: 270,730.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,425.25 : 168,140 = 168,140 : x
  2. Step 2: Convert to fraction form
    104,425.25/168,140 = 168,140/x
  3. Step 3: Cross multiply
    104,425.25x = 168,140 × 168,140
  4. Step 4: Simplify right side
    104,425.25x = 28,271,059,600
  5. Step 5: Solve for x
    x = 28,271,059,600/104,425.25
  6. Step 6: Final answer
    x = 270,730.11

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.